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Cellular Automaton Supercolliders

Author

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  • GENARO J. MARTÍNEZ

    (Instituto de Ciencias Nucleares and Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, México;
    Unconventional Computing Centre, University of the West of England, Bristol BS16 1QY, United Kingdom)

  • ANDREW ADAMATZKY

    (Instituto de Ciencias Nucleares and Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, México;
    Unconventional Computing Centre, University of the West of England, Bristol BS16 1QY, United Kingdom)

  • CHRISTOPHER R. STEPHENS

    (Instituto de Ciencias Nucleares and Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, México)

  • ALEJANDRO F. HOEFLICH

    (Instituto de Ciencias Nucleares and Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, México)

Abstract

Gliders in one-dimensional cellular automata are compact groups of non-quiescent and non-ether patterns (ether represents a periodic background) translating along automaton lattice. They are cellular automaton analogous of localizations or quasi-local collective excitations traveling in a spatially extended nonlinear medium. They can be considered as binary strings or symbols traveling along a one-dimensional ring, interacting with each other and changing their states, or symbolic values, as a result of interactions. We analyze what types of interaction occur between gliders traveling on a cellular automaton "cyclotron" and build a catalog of the most common reactions. We demonstrate that collisions between gliders emulate the basic types of interaction that occur between localizations in nonlinear media: fusion, elastic collision, and soliton-like collision. Computational outcomes of a swarm of gliders circling on a one-dimensional torus are analyzed via implementation of cyclic tag systems.

Suggested Citation

  • Genaro J. Martínez & Andrew Adamatzky & Christopher R. Stephens & Alejandro F. Hoeflich, 2011. "Cellular Automaton Supercolliders," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(04), pages 419-439.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:04:n:s0129183111016348
    DOI: 10.1142/S0129183111016348
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    References listed on IDEAS

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    1. Hoover, W.G., 1995. "Comment on “Two disks in a box” [R.J. Speedy, Physica A 210 (1994) 341]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(1), pages 195-195.
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